{"id":"openai-math/quasi-isometric-recognition-of-virtually-polycyclic-groups","pdf":"https://github.com/openai/math/blob/main/preprints/quasi-isometric-recognition-of-virtually-polycyclic-groups-September-24-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/quasi-isometric-recognition-of-virtually-polycyclic-groups-September-24-2026","tags":["geometric-group-theory","quasi-isometry","polycyclic-groups"],"score":0,"title":"Quasi-isometric recognition of virtually polycyclic groups","domain":"Group theory","family":"255","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.GR","summary":"We prove that every finitely generated group quasi-isometric to a finitely generated virtually polycyclic group is virtually polycyclic. This resolves the lattice-recognition conjecture of Eskin, Fisher and Whyte, which allows the ambient solvable Lie group in the conclusion to differ from the one in the hypothesis.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":false,"family_title":"Quasi-isometric recognition of virtually polycyclic groups"}